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Finding the Fourth Proportional to 7,938, 11,912.47 and 2,743.88

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Solution

The fourth proportional to 7,938, 11,912.47 and 2,743.88 is: 4,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 11,912.47 = 2,743.88 : x
  2. Step 2: Convert to fraction form
    7,938/11,912.47 = 2,743.88/x
  3. Step 3: Cross multiply
    7,938x = 11,912.47 × 2,743.88
  4. Step 4: Simplify right side
    7,938x = 32,686,321.76
  5. Step 5: Solve for x
    x = 32,686,321.76/7,938
  6. Step 6: Final answer
    x = 4,117.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.